10116683219916 has 192 divisors, whose sum is σ = 32350890700800. Its totient is φ = 2662372323072.

The previous prime is 10116683219869. The next prime is 10116683219947. The reversal of 10116683219916 is 61991238661101.

10116683219916 is a `hidden beast` number, since 101 + 166 + 83 + 219 + 91 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3438730 + ... + 5661998.

It is an arithmetic number, because the mean of its divisors is an integer number (168494222400).

Almost surely, 2^{10116683219916} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10116683219916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16175445350400).

10116683219916 is an abundant number, since it is smaller than the sum of its proper divisors (22234207480884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10116683219916 is a wasteful number, since it uses less digits than its factorization.

10116683219916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223765 (or 2223757 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 10116683219916 in words is "ten trillion, one hundred sixteen billion, six hundred eighty-three million, two hundred nineteen thousand, nine hundred sixteen".